Extensions of boolean rings and nearrings

Hamsa Nayak; Syam P. Kuncham; Babushri S. Kedukodi

doi:10.17516/1997-1397-2019-12-1-58-67

Extensions of boolean rings and nearrings

Hamsa Nayak, Syam P. Kuncham, Babushri S. Kedukodi

Department of Mathematics, Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper, we introduce the notions of left (right) Boolean rings and nearrings. We give examples to show that left (right) Boolean rings are not commutative in general. We obtain interrelations among these algebraic structures and get conditions under which the structures are commutative. Finally, we study the concept of derivations on left (right) Boolean rings and nearrings and obtain commutativity results.

Original language	English
Pages (from-to)	58-67
Number of pages	10
Journal	Journal of Siberian Federal University - Mathematics and Physics
Volume	12
Issue number	1
DOIs	https://doi.org/10.17516/1997-1397-2019-12-1-58-67
Publication status	Published - 01-01-2019

All Science Journal Classification (ASJC) codes

Mathematics(all)
Physics and Astronomy(all)

Access to Document

10.17516/1997-1397-2019-12-1-58-67

Cite this

@article{81af13bf26f944828774c3dbfcaf9566,

title = "Extensions of boolean rings and nearrings",

abstract = "In this paper, we introduce the notions of left (right) Boolean rings and nearrings. We give examples to show that left (right) Boolean rings are not commutative in general. We obtain interrelations among these algebraic structures and get conditions under which the structures are commutative. Finally, we study the concept of derivations on left (right) Boolean rings and nearrings and obtain commutativity results.",

author = "Hamsa Nayak and Kuncham, {Syam P.} and Kedukodi, {Babushri S.}",

year = "2019",

month = jan,

day = "1",

doi = "10.17516/1997-1397-2019-12-1-58-67",

language = "English",

volume = "12",

pages = "58--67",

journal = "Journal of Siberian Federal University - Mathematics and Physics",

issn = "1997-1397",

publisher = "Siberian Federal University",

number = "1",

}

TY - JOUR

T1 - Extensions of boolean rings and nearrings

AU - Nayak, Hamsa

AU - Kuncham, Syam P.

AU - Kedukodi, Babushri S.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - In this paper, we introduce the notions of left (right) Boolean rings and nearrings. We give examples to show that left (right) Boolean rings are not commutative in general. We obtain interrelations among these algebraic structures and get conditions under which the structures are commutative. Finally, we study the concept of derivations on left (right) Boolean rings and nearrings and obtain commutativity results.

AB - In this paper, we introduce the notions of left (right) Boolean rings and nearrings. We give examples to show that left (right) Boolean rings are not commutative in general. We obtain interrelations among these algebraic structures and get conditions under which the structures are commutative. Finally, we study the concept of derivations on left (right) Boolean rings and nearrings and obtain commutativity results.

UR - http://www.scopus.com/inward/record.url?scp=85062293453&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85062293453&partnerID=8YFLogxK

U2 - 10.17516/1997-1397-2019-12-1-58-67

DO - 10.17516/1997-1397-2019-12-1-58-67

M3 - Article

AN - SCOPUS:85062293453

SN - 1997-1397

VL - 12

SP - 58

EP - 67

JO - Journal of Siberian Federal University - Mathematics and Physics

JF - Journal of Siberian Federal University - Mathematics and Physics

IS - 1

ER -

Extensions of boolean rings and nearrings

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this